Discrete q-Hermite polynomials
In mathematics, the discrete q-Hermite polynomials are two closely related families hn and ĥn of basic hypergeometric orthogonal polynomials in the basic Askey scheme, introduced by. give a detailed list of their properties.Definition
The discrete q-Hermite polynomials are given in terms of basic hypergeometric functions and the Al-Salam–Carlitz polynomials by
and are related by
